Find the LCM of 278, 925, 947, 318, 140 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 278, 925, 947, 318, 140. So, keep reading to learn more.
Given numbers are 278,925,947,318,140
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 278,925,947,318,140 is 542077857300.
Find LCM of 278,925,947,318,140 with Prime Factorization
2 | 278, 925, 947, 318, 140 |
5 | 139, 925, 947, 159, 70 |
139, 185, 947, 159, 14 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 139 x 185 x 947 x 159 x 14 = 542077857300
Therefore, the lowest common multiple of 278,925,947,318,140 is 542077857300.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
278 x 925 x 947 x 318 x 140 = 10841557146000
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
278 : 1, 2, 139, 278
925 : 1, 5, 25, 37, 185, 925
947 : 1, 947
318 : 1, 2, 3, 6, 53, 106, 159, 318
140 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 278,925,947,318,140, is 1.
Now, the common factors can be found like this.
278:2x 139
925:5x 5x 37
947:947
318:2x 3x 53
140:2x 2x 5x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 5 = 20
Therefore, the value for common factors is 20.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 10841557146000/(1x20)
LCM = 10841557146000/20
LCM = 542077857300
Thus, we can understand that the LCM of 278,925,947,318,140 is 542077857300.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 278, 925, 947, 318, 140?
Answer: LCM of 278, 925, 947, 318, 140 is 542077857300.
2. How to calculate the LCM of 278, 925, 947, 318, 140?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 278, 925, 947, 318, 140.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.